---
_id: '45785'
abstract:
- lang: eng
  text: In this paper, we implement the multidomain compact finite difference method
    to numerically study high dimensional chaos by considering the nine-dimensional
    Lorenz system. Most of the existing numerical methods converge slowly for this
    kind of problems and this results in inaccurate approximations. Though highly
    accurate, the compact finite difference method becomes less accurate for problems
    characterized by chaotic solutions, even with an increase in the number of grid
    points. As a result, in this work, we adopt the multidomain approach. This approach
    remarkably improves the results as well as the efficiency of the method.
author:
- first_name: N.J.
  full_name: Kouagou, N.J.
  last_name: Kouagou
- first_name: P.G.
  full_name: Dlamini, P.G.
  last_name: Dlamini
- first_name: S.M.
  full_name: Simelane, S.M.
  last_name: Simelane
citation:
  ama: 'Kouagou NJ, Dlamini PG, Simelane SM. On the multi-domain compact finite difference
    relaxation method for high dimensional chaos: The nine-dimensional Lorenz system.
    <i>Alexandria Engineering Journal</i>. 2020;59(4):2617-2625. doi:<a href="https://doi.org/10.1016/j.aej.2020.04.025">https://doi.org/10.1016/j.aej.2020.04.025</a>'
  apa: 'Kouagou, N. J., Dlamini, P. G., &#38; Simelane, S. M. (2020). On the multi-domain
    compact finite difference relaxation method for high dimensional chaos: The nine-dimensional
    Lorenz system. <i>Alexandria Engineering Journal</i>, <i>59</i>(4), 2617–2625.
    <a href="https://doi.org/10.1016/j.aej.2020.04.025">https://doi.org/10.1016/j.aej.2020.04.025</a>'
  bibtex: '@article{Kouagou_Dlamini_Simelane_2020, title={On the multi-domain compact
    finite difference relaxation method for high dimensional chaos: The nine-dimensional
    Lorenz system}, volume={59}, DOI={<a href="https://doi.org/10.1016/j.aej.2020.04.025">https://doi.org/10.1016/j.aej.2020.04.025</a>},
    number={4}, journal={Alexandria Engineering Journal}, author={Kouagou, N.J. and
    Dlamini, P.G. and Simelane, S.M.}, year={2020}, pages={2617–2625} }'
  chicago: 'Kouagou, N.J., P.G. Dlamini, and S.M. Simelane. “On the Multi-Domain Compact
    Finite Difference Relaxation Method for High Dimensional Chaos: The Nine-Dimensional
    Lorenz System.” <i>Alexandria Engineering Journal</i> 59, no. 4 (2020): 2617–25.
    <a href="https://doi.org/10.1016/j.aej.2020.04.025">https://doi.org/10.1016/j.aej.2020.04.025</a>.'
  ieee: 'N. J. Kouagou, P. G. Dlamini, and S. M. Simelane, “On the multi-domain compact
    finite difference relaxation method for high dimensional chaos: The nine-dimensional
    Lorenz system,” <i>Alexandria Engineering Journal</i>, vol. 59, no. 4, pp. 2617–2625,
    2020, doi: <a href="https://doi.org/10.1016/j.aej.2020.04.025">https://doi.org/10.1016/j.aej.2020.04.025</a>.'
  mla: 'Kouagou, N. J., et al. “On the Multi-Domain Compact Finite Difference Relaxation
    Method for High Dimensional Chaos: The Nine-Dimensional Lorenz System.” <i>Alexandria
    Engineering Journal</i>, vol. 59, no. 4, 2020, pp. 2617–25, doi:<a href="https://doi.org/10.1016/j.aej.2020.04.025">https://doi.org/10.1016/j.aej.2020.04.025</a>.'
  short: N.J. Kouagou, P.G. Dlamini, S.M. Simelane, Alexandria Engineering Journal
    59 (2020) 2617–2625.
date_created: 2023-06-27T10:25:45Z
date_updated: 2023-06-27T10:28:56Z
doi: https://doi.org/10.1016/j.aej.2020.04.025
extern: '1'
intvolume: '        59'
issue: '4'
keyword:
- Multidomain
- Compact finite difference
- 9D Lorenz system
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/S1110016820301769
oa: '1'
page: 2617-2625
publication: Alexandria Engineering Journal
publication_identifier:
  issn:
  - 1110-0168
related_material:
  record:
  - id: '45785'
    relation: earlier_version
    status: private
status: public
title: 'On the multi-domain compact finite difference relaxation method for high dimensional
  chaos: The nine-dimensional Lorenz system'
type: journal_article
user_id: '87189'
volume: 59
year: '2020'
...
---
_id: '17667'
abstract:
- lang: eng
  text: 'Resolving distributed attacks benefits from collaboration between networks.
    We present three approaches for the same multi-domain defensive action that can
    be applied in such an alliance: 1) Counteract Everywhere, 2) Minimize Countermeasures,
    and 3) Minimize Propagation. First, we provide a formula to compute efficiency
    of a defense; then we use this formula to compute the efficiency of the approaches
    under various circumstances. Finally, we discuss how task execution order and
    timing influence defense efficiency. Our results show that the Minimize Propagation
    approach is the most efficient method when defending against the chosen attack.'
author:
- first_name: Ralph
  full_name: Koning, Ralph
  last_name: Koning
- first_name: Gleb
  full_name: Polevoy, Gleb
  id: '83983'
  last_name: Polevoy
- first_name: Lydia
  full_name: Meijer, Lydia
  last_name: Meijer
- first_name: Cees
  full_name: de Laat, Cees
  last_name: de Laat
- first_name: Paola
  full_name: Grosso, Paola
  last_name: Grosso
citation:
  ama: 'Koning R, Polevoy G, Meijer L, de Laat C, Grosso P. Approaches for Collaborative
    Security Defences in Multi Network Environments. In: <i>2019 6th IEEE International
    Conference on Cyber Security and Cloud Computing (CSCloud)/ 2019 5th IEEE International
    Conference on Edge Computing and Scalable Cloud (EdgeCom)</i>. 2019 6th IEEE International
    Conference on Cyber Security and Cloud Computing (CSCloud)/ 2019 5th IEEE International
    Conference on Edge Computing and Scalable Cloud (EdgeCom). ; 2019:113-123. doi:<a
    href="https://doi.org/10.1109/CSCloud/EdgeCom.2019.000-9">10.1109/CSCloud/EdgeCom.2019.000-9</a>'
  apa: Koning, R., Polevoy, G., Meijer, L., de Laat, C., &#38; Grosso, P. (2019).
    Approaches for Collaborative Security Defences in Multi Network Environments.
    In <i>2019 6th IEEE International Conference on Cyber Security and Cloud Computing
    (CSCloud)/ 2019 5th IEEE International Conference on Edge Computing and Scalable
    Cloud (EdgeCom)</i> (pp. 113–123). <a href="https://doi.org/10.1109/CSCloud/EdgeCom.2019.000-9">https://doi.org/10.1109/CSCloud/EdgeCom.2019.000-9</a>
  bibtex: '@inproceedings{Koning_Polevoy_Meijer_de Laat_Grosso_2019, series={2019
    6th IEEE International Conference on Cyber Security and Cloud Computing (CSCloud)/
    2019 5th IEEE International Conference on Edge Computing and Scalable Cloud (EdgeCom)},
    title={Approaches for Collaborative Security Defences in Multi Network Environments},
    DOI={<a href="https://doi.org/10.1109/CSCloud/EdgeCom.2019.000-9">10.1109/CSCloud/EdgeCom.2019.000-9</a>},
    booktitle={2019 6th IEEE International Conference on Cyber Security and Cloud
    Computing (CSCloud)/ 2019 5th IEEE International Conference on Edge Computing
    and Scalable Cloud (EdgeCom)}, author={Koning, Ralph and Polevoy, Gleb and Meijer,
    Lydia and de Laat, Cees and Grosso, Paola}, year={2019}, pages={113–123}, collection={2019
    6th IEEE International Conference on Cyber Security and Cloud Computing (CSCloud)/
    2019 5th IEEE International Conference on Edge Computing and Scalable Cloud (EdgeCom)}
    }'
  chicago: Koning, Ralph, Gleb Polevoy, Lydia Meijer, Cees de Laat, and Paola Grosso.
    “Approaches for Collaborative Security Defences in Multi Network Environments.”
    In <i>2019 6th IEEE International Conference on Cyber Security and Cloud Computing
    (CSCloud)/ 2019 5th IEEE International Conference on Edge Computing and Scalable
    Cloud (EdgeCom)</i>, 113–23. 2019 6th IEEE International Conference on Cyber Security
    and Cloud Computing (CSCloud)/ 2019 5th IEEE International Conference on Edge
    Computing and Scalable Cloud (EdgeCom), 2019. <a href="https://doi.org/10.1109/CSCloud/EdgeCom.2019.000-9">https://doi.org/10.1109/CSCloud/EdgeCom.2019.000-9</a>.
  ieee: R. Koning, G. Polevoy, L. Meijer, C. de Laat, and P. Grosso, “Approaches for
    Collaborative Security Defences in Multi Network Environments,” in <i>2019 6th
    IEEE International Conference on Cyber Security and Cloud Computing (CSCloud)/
    2019 5th IEEE International Conference on Edge Computing and Scalable Cloud (EdgeCom)</i>,
    2019, pp. 113–123.
  mla: Koning, Ralph, et al. “Approaches for Collaborative Security Defences in Multi
    Network Environments.” <i>2019 6th IEEE International Conference on Cyber Security
    and Cloud Computing (CSCloud)/ 2019 5th IEEE International Conference on Edge
    Computing and Scalable Cloud (EdgeCom)</i>, 2019, pp. 113–23, doi:<a href="https://doi.org/10.1109/CSCloud/EdgeCom.2019.000-9">10.1109/CSCloud/EdgeCom.2019.000-9</a>.
  short: 'R. Koning, G. Polevoy, L. Meijer, C. de Laat, P. Grosso, in: 2019 6th IEEE
    International Conference on Cyber Security and Cloud Computing (CSCloud)/ 2019
    5th IEEE International Conference on Edge Computing and Scalable Cloud (EdgeCom),
    2019, pp. 113–123.'
conference:
  name: 2019 6th IEEE International Conference on Cyber Security and Cloud Computing
    (CSCloud)/ 2019 5th IEEE International Conference on Edge Computing and Scalable
    Cloud (EdgeCom)
date_created: 2020-08-06T15:23:23Z
date_updated: 2022-01-06T06:53:16Z
department:
- _id: '63'
- _id: '541'
doi: 10.1109/CSCloud/EdgeCom.2019.000-9
extern: '1'
keyword:
- computer network security
- multinetwork environments
- multidomain defensive action
- task execution order
- timing influence defense efficiency
- distributed attacks
- collaborative security defence approach
- minimize propagation approach
- minimize countermeasure approach
- counteract everywhere approach
- Conferences
- Cloud computing
- Computer crime
- Edge computing
- Security
- Defense Approaches
- Multi-Domain Defense
- Collaborative Defense
- Defense Algorithms
- Computer Networks
language:
- iso: eng
main_file_link:
- url: https://ieeexplore.ieee.org/abstract/document/8854057/authors#authors
page: 113-123
publication: 2019 6th IEEE International Conference on Cyber Security and Cloud Computing
  (CSCloud)/ 2019 5th IEEE International Conference on Edge Computing and Scalable
  Cloud (EdgeCom)
publication_identifier:
  issn:
  - 'null'
quality_controlled: '1'
series_title: 2019 6th IEEE International Conference on Cyber Security and Cloud Computing
  (CSCloud)/ 2019 5th IEEE International Conference on Edge Computing and Scalable
  Cloud (EdgeCom)
status: public
title: Approaches for Collaborative Security Defences in Multi Network Environments
type: conference
user_id: '83983'
year: '2019'
...